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- Adaptive bandwidth selection (1)
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Articles 1 - 7 of 7
Full-Text Articles in Physical Sciences and Mathematics
Sparse Representations In Power Systems Signals, Jack Cooper
Sparse Representations In Power Systems Signals, Jack Cooper
All Theses
This thesis seeks to detect transient disturbances in power system signals in a sparse framework. To this end, an overcomplete wavelet packet dictionary and damped sinusoid dictionary are considered, and for each dictionary Matching Pursuit is compared with Basis Pursuit. Previous work in developing waveform dictionary theory and sparse representation is reviewed, and simulations are run on a test signal in both noisy and noiseless environments. The solutions are viewed as time-frequency plane tilings to compare the accuracy and sparsity of these algorithms in properly resolving optimal representations of the disturbances. The advantages and disadvantages of each combination of dictionary …
Local Adaptive Smoothing In Kernel Regression Estimation, Qi Zheng
Local Adaptive Smoothing In Kernel Regression Estimation, Qi Zheng
All Theses
We consider nonparametric estimation of a smooth regression function of one variable. In practice it is quite popular to use the data to select one global smoothing parameter. Such global selection procedures cannot sufficiently account for local sparseness of the covariate nor can they adapt to local curvature of the regression function. We propose a new method to select local smoothing parameters which takes into account sparseness and adapts to local curvature of the regression function. A Bayesian method allows the smoothing parameter to adapt to the local sparseness of the covariate and provides the basis for a local cross …
Portfolio Selection Problem Under Uncertainty And Risk, Dimitri Nowak
Portfolio Selection Problem Under Uncertainty And Risk, Dimitri Nowak
All Theses
The purpose of this research is the investigation of a portfolio problem in an uncertain environment. Given possible investments with random performance depending on uncertain environmental settings the objective is to establish a methodology for construction of a portfolio which is non-dominated with respect to second order stochastic dominance and whose return distribution is preferable for a least risk decision maker.
Optimization Models For Designing Spatially Compact Ecological Reserve Systems, Lakmali Weerasena
Optimization Models For Designing Spatially Compact Ecological Reserve Systems, Lakmali Weerasena
All Theses
Over the past decades, a number of mathematical models and solution techniques have been developed to preserve reserve sites for species and their natural habitats. Two optimization models for designing spatially compact ecological reserve systems are addressed here as zero-one integer programming problems. These formulations have a bicriteria objective function that is a combination of both boundary length and distance. The two formulations cluster the sites into a relatively small number of compact groups while preserving a required number of sites that contain a certain species using a given amount of resources. Two general types of approaches have been developed …
Construction Of A Dimension Two Rank One Drinfeld Module, Catherine Trentacoste
Construction Of A Dimension Two Rank One Drinfeld Module, Catherine Trentacoste
All Theses
Consider Fr[t] where r = pm for some prime p and m in the natural numbers. Let f(t) be an irreducible square-free polynomial with even degree in Fr[t] so that the leading coeffcient is not a square
mod Fr. Let A = L = Fr[t][\sqrt{f(t)}].
We will examine the basic set-up required for a dimension two rank one Drinfeld module over L along with an explanation of our choice of f(t). In addition we will show the construction for the exponential function.
A Dual Algorithm For The Weighted Euclidean Distance Min-Max Location Problem In R^2 And R^3, Andrea Smith
A Dual Algorithm For The Weighted Euclidean Distance Min-Max Location Problem In R^2 And R^3, Andrea Smith
All Theses
A dual approach algorithm is given for the solution of the weighted min-max location problem with Euclidean distance in R^2 and R^3. Each subproblem is solved using a directional search procedure and by taking advantage of its geometric structure. An algebraic replacement rule is employed to update the subproblem.
Binary Quadratic Forms Over F[T] And Principal Ideal Domains, Jeff Beyerl
Binary Quadratic Forms Over F[T] And Principal Ideal Domains, Jeff Beyerl
All Theses
This paper concerns binary quadratic forms over F[T]. It develops theory analogous to the theory of binary quadratic forms over the integers. Most although not all of the results are almost identical, while some of the proofs require different techniques.
In particular, the form class group is determined when the form takes values in a principal ideal domain, and the ideal class group (and class group isomorphism) is determined when the form takes values in F[T].